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Finding the Fourth Proportional to 454.59, 627.63 and 299.43

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Solution

The fourth proportional to 454.59, 627.63 and 299.43 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.59 : 627.63 = 299.43 : x
  2. Step 2: Convert to fraction form
    454.59/627.63 = 299.43/x
  3. Step 3: Cross multiply
    454.59x = 627.63 × 299.43
  4. Step 4: Simplify right side
    454.59x = 187,931.25
  5. Step 5: Solve for x
    x = 187,931.25/454.59
  6. Step 6: Final answer
    x = 413.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.